In this paper, we derive some sufficient conditions for local and global asymptotic stability of both continuous-time and discrete-time nonlinear cascade interconnected systems. We prove our results using converse Lyapunov stability theorems and LaSalle's invariance principle for continuous-time and
Interconnected nonlinear systems, local and global stabilization
โ Scribed by F. Mazenc
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 104 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0167-6911
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โฆ Synopsis
A family of interconnected nonlinear systems including partially linear systems is studied. No assumption on the stability of each uncontrolled subsystem is imposed but asymptotic stabilizability for each of them is assumed. The objective of this work is the state feedback stabilization of the origin of such composite systems. Local and global results are derived using simple techniques such as coordinate and feedback transformations.
๐ SIMILAR VOLUMES
Local feedback control to stabilize an electric power system with proven convergence is introduced using a proposed observation decoupled state space which is shown to be topologically equivalent to the conventional state space.